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Finding the Fourth Proportional to 3,405.81, 5,109.93 and 1,946.19

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Solution

The fourth proportional to 3,405.81, 5,109.93 and 1,946.19 is: 2,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.81 : 5,109.93 = 1,946.19 : x
  2. Step 2: Convert to fraction form
    3,405.81/5,109.93 = 1,946.19/x
  3. Step 3: Cross multiply
    3,405.81x = 5,109.93 × 1,946.19
  4. Step 4: Simplify right side
    3,405.81x = 9,944,894.67
  5. Step 5: Solve for x
    x = 9,944,894.67/3,405.81
  6. Step 6: Final answer
    x = 2,919.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.